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Finding the Fourth Proportional to 11,704.30, 17,540.92 and 5,123.32

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Solution

The fourth proportional to 11,704.30, 17,540.92 and 5,123.32 is: 7,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.30 : 17,540.92 = 5,123.32 : x
  2. Step 2: Convert to fraction form
    11,704.30/17,540.92 = 5,123.32/x
  3. Step 3: Cross multiply
    11,704.30x = 17,540.92 × 5,123.32
  4. Step 4: Simplify right side
    11,704.30x = 89,867,746.25
  5. Step 5: Solve for x
    x = 89,867,746.25/11,704.30
  6. Step 6: Final answer
    x = 7,678.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.